Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y = 7x² - 2x, y = x³ - 7x + 4 X 5.05 Need Help? Read It Watch It

Q: Verify Green's Theorem by evaluating both integrals (ON-OM) d [[ y² dx + x² dy = √ √ ( ³x for the…

A: In this question, we want to verify the green's Theorem for the given integral.

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi - 2xzj+yzk; (9,-9, 9) curl F…

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Q: Find the minimum distance from the point (-6, -6, 0) to the surface z = O√√559 O 3√61 09 O√773 O√69…

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Q: Evaluate the double integralfor, f(r, e) dA. Sketch the region R. O π/6 8 O sin(0) cos(8) dr de -5…

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Q: -10 -10 10 (c) Describe the relationship between the graphs. The graphs off and f" are reflections…

A: Let's solve for c part.

Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = 0 y(x) =

A: 3y''+2y'+y=0

Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. - 1/2 (u = v), y = 1/2 (u…

A: Jacobian ∂(x,y)/∂(u,v)= ∂x/∂u* ∂y/∂v - ∂y/∂u* ∂x/∂v

Q: Consider the following. y 4 3 Find its foci. 2 1 -1 -2 Find an equation of the ellipse. smaller…

A: we need to find the equation for ellipse

Q: A) Let g(x)=x² (5x+24 (2x + 8 a) lim x-1 b) lim X-0 a) lim g(x), lim g(x) x--3 x-0 B) Find the…

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Q: Find a particular solution to the differential equation Ур = -6y" - 5y'-y = -(t² + 2t + 2e²t).

A: To find a particular solution to the differential equation.-6y''-5y'-y=-t2+2t+2e2t

Q: Differentiate the following function: f'(x) = f(x) = e" + ce 니

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞o, co).…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 12ex - 12 y(x) =

A: See  the details solution in below

Q: The equation implicitly defines z as a function of t. Find dz dt +² 22 - sin (5 z) = -8

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Q: Given polar curves A₁: r = 1 + sin 0 and A₂: r = 3 sin 0 1. Solve for the polar coordinates of the…

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: NOTE: Refresh your page if you can't see any equations. .   width of the storage container is W=x…

Q: convergence. n=0 (n+1)3 00 n+1 x2+1 n=0(n+1)3 (+1) x^2+1 n=0(n+1)3" 00 1n (3) - Σ In (3) - (n+1) 00…

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Q: Let f g and h be the functions defined below i. 11. f(x) = 5¹ = 10x₁ (²² = 4) g(x) = log5 h(x) = 6 x…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: improper iterat 1/x3 y dy dx

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Q: Evaluate the iterated integral. 2 √4-3²3-8²-12² SS S x dz dy dx 0 -S+x² + y²

A: Given, ∫02∫04-x2∫-5+x2+y23-x2-y2xdzdydx

Q: Determine whether the given set of functions is linearly independent on the interval (-∞,00). f₁(x)…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e* - 12 y(x) =

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Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: A force of 400 newtons stretches a spring 3 meters. A mass of 40 kilograms is attached to the end of…

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Q: The position of a particle moving in a straight line is given by s(t) = e-*cos(5t) for > 0, where…

A: We have to find the necessary equation that must be satisfied.

Q: Decide which of the two given functions is linear and find its equation. 12 3 4 X 0 f(x) 9 14 g(x)…

A: Topic = Functions

Q: Find the determinant. x² -Ed 2x 5x4 W(x5, x²) = = (x²)(5x4) - (2x)(x5) The Wronskian ---Select---…

A: We need to fill in the blanks.

Q: Find the general solution of the differential equation y" - 2y + y = 7et 1+t2 NOTE: Use C₁ and C₂ as…

A: Given the differential equation is y''-2y'+y = 7et1+t2

Q: Use implicit ?х ਹੈ: ду = = x + y2 + z? = 6xyz 6- 6x differentiation to find əz/ax and Oz/dy. 6- 2y

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Q: Expand the function (Express numbers in exact form. Use symbolic notation and fractions where…

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Q: Find by implicit differentiation, given that x²y – 4y5 = -8. Your answer could involve both x and y.…

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Q: Evaluate the following limit using Taylor series. 3tan ¹x-3x+x³ 5 lim x-0

A: Follow the procedure given below.

Q: Solve the following system of equations. 3x+4y = 4 6x+4y = 16

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Q: Describe a plane vector u 9 Vector Match the vectors p, q, r, s, and t with one of the combinations…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find the general solution of the given second-order differential equation. 25y" - 15y' - 4y = 0…

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = et In(t) y(t) =

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Q: lim x-0 tan x - x .3 X

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Q: Let f be the piecewise function i. 11. f(x) = (x³ + 6x² + 8x x + 2 x 1 Sketch the graph of f. Based…

A: Solution is given below:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

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Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

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Q: Use Green's Theorem to evaluate the line integral Icov for the given path. (y-x) dx + (2x - y) dy C:…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞o, co).…

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Q: The number of welfare cases in a city of population p is expected to be W = 0.006p4/3. If the…

A: We will apply the concept of implicit differentiation to solve the problem.

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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